Question
Expand the following:
(3a - 5b - c)2
(3a - 5b - c)2
✓
Answer
(3a - 5b - c)2 = (3a)2 + (-5b)2 + (-c)2 + 2(3a)2 - 5b + 2(-5b)(-c) + 2(-c)(3a)
[$\therefore$ a2 + b2 + c2 + 2ab + 2bc + 2ca = (a + b + c)2]
= 9a2 + 25b2 + c2 - 30ab + 10bc + 6ca.
[$\therefore$ a2 + b2 + c2 + 2ab + 2bc + 2ca = (a + b + c)2]
= 9a2 + 25b2 + c2 - 30ab + 10bc + 6ca.
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